5y+3(y+7)=4(y+1)-2

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Solution for 5y+3(y+7)=4(y+1)-2 equation:


Simplifying
5y + 3(y + 7) = 4(y + 1) + -2

Reorder the terms:
5y + 3(7 + y) = 4(y + 1) + -2
5y + (7 * 3 + y * 3) = 4(y + 1) + -2
5y + (21 + 3y) = 4(y + 1) + -2

Reorder the terms:
21 + 5y + 3y = 4(y + 1) + -2

Combine like terms: 5y + 3y = 8y
21 + 8y = 4(y + 1) + -2

Reorder the terms:
21 + 8y = 4(1 + y) + -2
21 + 8y = (1 * 4 + y * 4) + -2
21 + 8y = (4 + 4y) + -2

Reorder the terms:
21 + 8y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
21 + 8y = 2 + 4y

Solving
21 + 8y = 2 + 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.
21 + 8y + -4y = 2 + 4y + -4y

Combine like terms: 8y + -4y = 4y
21 + 4y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + 4y = 2 + 0
21 + 4y = 2

Add '-21' to each side of the equation.
21 + -21 + 4y = 2 + -21

Combine like terms: 21 + -21 = 0
0 + 4y = 2 + -21
4y = 2 + -21

Combine like terms: 2 + -21 = -19
4y = -19

Divide each side by '4'.
y = -4.75

Simplifying
y = -4.75

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