Calculate: (-2y^5+y^3-2y)-(y^5-4y^3+6)

Expression: $\left( -2{y}^{5}+{y}^{3}-2y \right)-\left( {y}^{5}-4{y}^{3}+6 \right)$

Remove unnecessary parentheses

$-2{y}^{5}+{y}^{3}-2y-\left( {y}^{5}-4{y}^{3}+6 \right)$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

$-2{y}^{5}+{y}^{3}-2y-{y}^{5}+4{y}^{3}-6$

Collect like terms

$-3{y}^{5}+{y}^{3}-2y+4{y}^{3}-6$

Collect like terms

$-3{y}^{5}+5{y}^{3}-2y-6$