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Simplifying 4(y + -12) + 1 = -5(3 + -2y) Reorder the terms: 4(-12 + y) + 1 = -5(3 + -2y) (-12 * 4 + y * 4) + 1 = -5(3 + -2y) (-48 + 4y) + 1 = -5(3 + -2y) Reorder the terms: -48 + 1 + 4y = -5(3 + -2y) Combine like terms: -48 + 1 = -47 -47 + 4y = -5(3 + -2y) -47 + 4y = (3 * -5 + -2y * -5) -47 + 4y = (-15 + 10y) Solving -47 + 4y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -47 + 4y + -10y = -15 + 10y + -10y Combine like terms: 4y + -10y = -6y -47 + -6y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 -47 + -6y = -15 + 0 -47 + -6y = -15 Add '47' to each side of the equation. -47 + 47 + -6y = -15 + 47 Combine like terms: -47 + 47 = 0 0 + -6y = -15 + 47 -6y = -15 + 47 Combine like terms: -15 + 47 = 32 -6y = 32 Divide each side by '-6'. y = -5.333333333 Simplifying y = -5.333333333
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