4(y+5)+10(y-2)+7=

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Solution for 4(y+5)+10(y-2)+7= equation: 


Simplifying
4(y + 5) + 10(y + -2) + 7 = 0

Reorder the terms:
4(5 + y) + 10(y + -2) + 7 = 0
(5 * 4 + y * 4) + 10(y + -2) + 7 = 0
(20 + 4y) + 10(y + -2) + 7 = 0

Reorder the terms:
20 + 4y + 10(-2 + y) + 7 = 0
20 + 4y + (-2 * 10 + y * 10) + 7 = 0
20 + 4y + (-20 + 10y) + 7 = 0

Reorder the terms:
20 + -20 + 7 + 4y + 10y = 0

Combine like terms: 20 + -20 = 0
0 + 7 + 4y + 10y = 0
7 + 4y + 10y = 0

Combine like terms: 4y + 10y = 14y
7 + 14y = 0

Solving
7 + 14y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 14y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 14y = 0 + -7
14y = 0 + -7

Combine like terms: 0 + -7 = -7
14y = -7

Divide each side by '14'.
y = -0.5

Simplifying
y = -0.5

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