5(y+1)13=3y-20

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Solution for 5(y+1)13=3y-20 equation:


Simplifying
5(y + 1) * 13 = 3y + -20

Reorder the terms:
5(1 + y) * 13 = 3y + -20

Reorder the terms for easier multiplication:
5 * 13(1 + y) = 3y + -20

Multiply 5 * 13
65(1 + y) = 3y + -20
(1 * 65 + y * 65) = 3y + -20
(65 + 65y) = 3y + -20

Reorder the terms:
65 + 65y = -20 + 3y

Solving
65 + 65y = -20 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
65 + 65y + -3y = -20 + 3y + -3y

Combine like terms: 65y + -3y = 62y
65 + 62y = -20 + 3y + -3y

Combine like terms: 3y + -3y = 0
65 + 62y = -20 + 0
65 + 62y = -20

Add '-65' to each side of the equation.
65 + -65 + 62y = -20 + -65

Combine like terms: 65 + -65 = 0
0 + 62y = -20 + -65
62y = -20 + -65

Combine like terms: -20 + -65 = -85
62y = -85

Divide each side by '62'.
y = -1.370967742

Simplifying
y = -1.370967742

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