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Simplifying 2(y + -6) + -4 = -4(-5y + 7) + -3y Reorder the terms: 2(-6 + y) + -4 = -4(-5y + 7) + -3y (-6 * 2 + y * 2) + -4 = -4(-5y + 7) + -3y (-12 + 2y) + -4 = -4(-5y + 7) + -3y Reorder the terms: -12 + -4 + 2y = -4(-5y + 7) + -3y Combine like terms: -12 + -4 = -16 -16 + 2y = -4(-5y + 7) + -3y Reorder the terms: -16 + 2y = -4(7 + -5y) + -3y -16 + 2y = (7 * -4 + -5y * -4) + -3y -16 + 2y = (-28 + 20y) + -3y Combine like terms: 20y + -3y = 17y -16 + 2y = -28 + 17y Solving -16 + 2y = -28 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -16 + 2y + -17y = -28 + 17y + -17y Combine like terms: 2y + -17y = -15y -16 + -15y = -28 + 17y + -17y Combine like terms: 17y + -17y = 0 -16 + -15y = -28 + 0 -16 + -15y = -28 Add '16' to each side of the equation. -16 + 16 + -15y = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -15y = -28 + 16 -15y = -28 + 16 Combine like terms: -28 + 16 = -12 -15y = -12 Divide each side by '-15'. y = 0.8 Simplifying y = 0.8
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