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Simplifying -7y + 13 + -5y + 15 = 4(-3 + 2y) Reorder the terms: 13 + 15 + -7y + -5y = 4(-3 + 2y) Combine like terms: 13 + 15 = 28 28 + -7y + -5y = 4(-3 + 2y) Combine like terms: -7y + -5y = -12y 28 + -12y = 4(-3 + 2y) 28 + -12y = (-3 * 4 + 2y * 4) 28 + -12y = (-12 + 8y) Solving 28 + -12y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 28 + -12y + -8y = -12 + 8y + -8y Combine like terms: -12y + -8y = -20y 28 + -20y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 28 + -20y = -12 + 0 28 + -20y = -12 Add '-28' to each side of the equation. 28 + -28 + -20y = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -20y = -12 + -28 -20y = -12 + -28 Combine like terms: -12 + -28 = -40 -20y = -40 Divide each side by '-20'. y = 2 Simplifying y = 2
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