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Simplifying -4(y + 3) = y + -8 + 5(2y + 1) Reorder the terms: -4(3 + y) = y + -8 + 5(2y + 1) (3 * -4 + y * -4) = y + -8 + 5(2y + 1) (-12 + -4y) = y + -8 + 5(2y + 1) Reorder the terms: -12 + -4y = y + -8 + 5(1 + 2y) -12 + -4y = y + -8 + (1 * 5 + 2y * 5) -12 + -4y = y + -8 + (5 + 10y) Reorder the terms: -12 + -4y = -8 + 5 + y + 10y Combine like terms: -8 + 5 = -3 -12 + -4y = -3 + y + 10y Combine like terms: y + 10y = 11y -12 + -4y = -3 + 11y Solving -12 + -4y = -3 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -12 + -4y + -11y = -3 + 11y + -11y Combine like terms: -4y + -11y = -15y -12 + -15y = -3 + 11y + -11y Combine like terms: 11y + -11y = 0 -12 + -15y = -3 + 0 -12 + -15y = -3 Add '12' to each side of the equation. -12 + 12 + -15y = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -15y = -3 + 12 -15y = -3 + 12 Combine like terms: -3 + 12 = 9 -15y = 9 Divide each side by '-15'. y = -0.6 Simplifying y = -0.6
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