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Simplifying 4(y + -3) + -2y = 5(-3y + 1) Reorder the terms: 4(-3 + y) + -2y = 5(-3y + 1) (-3 * 4 + y * 4) + -2y = 5(-3y + 1) (-12 + 4y) + -2y = 5(-3y + 1) Combine like terms: 4y + -2y = 2y -12 + 2y = 5(-3y + 1) Reorder the terms: -12 + 2y = 5(1 + -3y) -12 + 2y = (1 * 5 + -3y * 5) -12 + 2y = (5 + -15y) Solving -12 + 2y = 5 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. -12 + 2y + 15y = 5 + -15y + 15y Combine like terms: 2y + 15y = 17y -12 + 17y = 5 + -15y + 15y Combine like terms: -15y + 15y = 0 -12 + 17y = 5 + 0 -12 + 17y = 5 Add '12' to each side of the equation. -12 + 12 + 17y = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 17y = 5 + 12 17y = 5 + 12 Combine like terms: 5 + 12 = 17 17y = 17 Divide each side by '17'. y = 1 Simplifying y = 1
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