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

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


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

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

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

Combine like terms: 7y + 2y = 9y
10 + 9y = 4(y + -10)

Reorder the terms:
10 + 9y = 4(-10 + y)
10 + 9y = (-10 * 4 + y * 4)
10 + 9y = (-40 + 4y)

Solving
10 + 9y = -40 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
10 + 9y + -4y = -40 + 4y + -4y

Combine like terms: 9y + -4y = 5y
10 + 5y = -40 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + 5y = -40 + 0
10 + 5y = -40

Add '-10' to each side of the equation.
10 + -10 + 5y = -40 + -10

Combine like terms: 10 + -10 = 0
0 + 5y = -40 + -10
5y = -40 + -10

Combine like terms: -40 + -10 = -50
5y = -50

Divide each side by '5'.
y = -10

Simplifying
y = -10

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