3(2y+3)-4(y+1)=7y-10

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Solution for 3(2y+3)-4(y+1)=7y-10 equation: 


Simplifying
3(2y + 3) + -4(y + 1) = 7y + -10

Reorder the terms:
3(3 + 2y) + -4(y + 1) = 7y + -10
(3 * 3 + 2y * 3) + -4(y + 1) = 7y + -10
(9 + 6y) + -4(y + 1) = 7y + -10

Reorder the terms:
9 + 6y + -4(1 + y) = 7y + -10
9 + 6y + (1 * -4 + y * -4) = 7y + -10
9 + 6y + (-4 + -4y) = 7y + -10

Reorder the terms:
9 + -4 + 6y + -4y = 7y + -10

Combine like terms: 9 + -4 = 5
5 + 6y + -4y = 7y + -10

Combine like terms: 6y + -4y = 2y
5 + 2y = 7y + -10

Reorder the terms:
5 + 2y = -10 + 7y

Solving
5 + 2y = -10 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
5 + 2y + -7y = -10 + 7y + -7y

Combine like terms: 2y + -7y = -5y
5 + -5y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
5 + -5y = -10 + 0
5 + -5y = -10

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

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

Combine like terms: -10 + -5 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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